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Question
Are the triangles in the given figure similar? If yes, by which test?
Sum
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Solution
Given:
PQ = 6, PR = 10, QR = 8
LM = 3, LN = 5, MN = 4
Now,
`"PQ"/"LM" = 6/3 = 2` ...(i)
`"QR"/"MN" = 8/4 = 2` ...(ii)
`"RP"/"NL" = 10/5 = 2` ...(iii)
From (i), (ii) and (iii)
∴ `"PQ"/"LM" = "QR"/"MN" = "RP"/"NL"`
By SSS test of similarity,
△PQR ∼ △LMN
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